Guess
Assuming:
1) The booty is equally divided among the survivors.
2) The shooting stops as soon as one robber gets shot.
3) "act rationally" means use a Nash equilibrium strategy for the game where the only payoff is percentage of the booty.
Then I think there is only one Nash Equilibrium for the game. Each robber randomly chooses an opponent every round and shoots. Abe is the most likely to survive. Poor Dan is the most likely to die.
If we replace Assumption 2) with
2) The shooting stops when at least 3 robbers are dead.
Then, the problem becomes difficult.
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